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Gradient estimates for the porous medium type equation on smooth metric measure space

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成果类型:
期刊论文
作者:
Deng Yihua*
通讯作者:
Deng Yihua
作者机构:
[Deng Yihua] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang, Hunan, Peoples R China.
通讯机构:
[Deng Yihua] H
Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang, Hunan, Peoples R China.
语种:
英文
关键词:
Gradient estimates;porous medium type equation;smooth metric measure space;positive solution;Gradient estimates;porous medium type equation;smooth metric measure space;positive solution
期刊:
TURKISH JOURNAL OF MATHEMATICS
ISSN:
1300-0098
年:
2014
卷:
38
期:
6
页码:
985-993
基金类别:
Natural Science Foundation of Hunan provinceNatural Science Foundation of Hunan Province [14JJ2120]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [14A020]; Key Constructional Discipline of Hunan Province [[2011]76]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
The porous medium equation arises in different applications to model diffusive phenomena. In this paper, we obtain several gradient estimates for some porous medium type equations on smooth metric measure space with N-Bakry-Emery Ricci tensor bounded from below. In particular, we improve and generalize some current gradient es...

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